{"references": ["G. I. Taylor. The formation of a blast wave by a very intense explosion. British Report RC-210, Jun 1941.", "J. von Neumann. The point source solution. NDRC, Div. B. Report AM-9, Jun 1941.", "L. I. Sedov. Propagation of strong shock waves. Journal of Applied Mathematics and Mechanics, 10:241\u2013250, Jan 1946.", "G. I. Taylor. The formation of a blast wave by a very intense explosion i. theoretical discussion. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 201(1065):159\u2013174, Mar 1950. https://doi.org/10.1098/rspa.1950.0049.", "H. A. Bethe, K. Fuchs, J. O. Hirschfelder, J. L. Magee, R. E. Peierls, and J. von Neumann. Blast wave, chapter The point source solution, by John von Neumann, pages 27\u201355. Office of Technical Services U.S. Department of Commerce, Mar 1958 (written in 1947). https://apps.dtic.mil/sti/citations/ADA384954.", "L. I. Sedov. Similarity and Dimensional Methods in Mechanics. Academic Press, 1959. https://doi.org/10.1016/C2013-0-08173-X.", "K. M. Ferri\u00e8re. The interstellar environment of our galaxy. Reviews of Modern Physics, 73:1031\u20131066, Dec 2001. https://link.aps.org/doi/10.1103/RevModPhys.73.1031.", "L. D. Landau and E. M. Lifshitz. Course of Theoretical Physics, Fluid Mechanics, volume 6, chapter One-Dimensional Gas Flow, A Strong Explosion, pages 361\u2013413. Pergamon, 1987.", "Ya. B. Zel'dovich and Yu. P. Raizer. Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, volume 1, chapter Approximate treatment of a strong explosion, pages 97\u201399. Academic Press, 1966.", "E. F. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer Berlin, Heidelberg, 2009. https://doi.org/10.1007/b79761.", "T. Miyoshi and K. Kusano. A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics. Journal of Computational Physics, 208(1):315\u2013344, Sep 2005. https://doi.org/10.1016/j.jcp.2005.02.017."]}

Dimensional analysis allowed the discovery of a physical law governing the propagation of a spherical blast wave generated by a punctual and instantaneous energy deposit in a gas. This law, generally known as the Taylor-von Neumann-Sedov solution, has been applied in astrophysics to model supernova blast waves in interstellar plasmas. However, some astronomical observations have shown the existence of non-spherical supernova blast waves. It is suspected that this anisotropy is partly due to the presence of an ambient magnetic field, but the description of a blast wave in such a context remains incomplete. The aim of this study is to model the propagation of a blast wave in a magnetized plasma. The main tools used are dimensional analysis, the ab initio method, based on the equations of magnetohydrodynamics, and numerical simulation. This study results in an analytical model describing the propagation of a blast wave in a magnetized plasma, and its transformation into a magnetic shock. In addition, scaling laws are proposed for the study of supernova blast waves through laboratory experiments consisting of laser shots.